Wednesday, April 17, 2013

7 Reasons Why Math is Awesome!


 I’ve been seeing a lot of posts recently about how “Why math is hard” or “Why math is out to get you.” I find these statements rather unfortunate. As someone who not only uses math regularly, but enjoys it (!!), I have decided to counter these with a few statements of my own!


7) You are already good at math but probably don’t know it.

Yeah I said it. You are probably good at many parts of math but don’t think about it. 

Doubling a recipe? Fractions! 
Quilting? Geometry! 
How many cases of beer for your party? Multiplication/division! 
How many pages until the exciting conclusion of this book? Subtraction! 
How much gas will this road trip cost? Algebra! 

Who says these skills are applicable to life?

6) Math could get you laid.

This isn’t as crazy as it might originally sound. People are often attracted to power and self-confidence. It’s not a stretch to believe that someone who can calculate tip in their head, and quickly, would have a certain allure. Now expand that to understanding the probability at poker or the ratios of how to make a good drink. If you are already scientifically inclined, maybe just talking stats over a fine meal is enough. (Come on baby, talk nerdy to me!)

Additionally, many of the high paying jobs in our market right now, particularly engineering and computer science, require lots of mathematical know how. If you want to wine and dine your ladies on the old fashion way, mathematical prowess could still get you there.



5) Math can be beautiful.

There is a simplicity and symmetry inherent in mathematics that can be considered beautiful. I like to think of it akin to a zen garden or poetry. My friend James says "[Just as] poetry can bury layers of meaning in tiny parcels of words, there are conceptual implications to math phrases that you have to work to make sense of." For example:



These are just a few examples of particularly simple formulas, however simplicity is only part of the beauty. For more complicated formulas google "Beautiful Equations". 

But think about it.. the fact that geometry works at all is amazing! You can be given a circle with some lines running through it and a few bits of information and using a bit of knowhow and some clever arithmetic, calculate just about everything else about those shapes! Amazing!




4) Math is the universal language

Because the truths found within mathematics are true regardless of who or where you are (OK geometry changes with your dimension and plane), numbers can be used as a universal language. Whether or not we are of the same religion or the same planet we can agree and find some common ground in our use of math.

3) Math can unlock a world of wonder in the mundane.

Look around you! Nature is FULL of patterns! Fractals (shapes that constantly repeat within themselves) are found everywhere from broccoli to rivers to the veins in our bodies. The Fibonacci sequence (golden ratio) is found in sea shells at the beach. Rocks thrown in a pool will create perfectly shapes circles that behave in predictable ways. Mathematical formulas are used to describe wind and clouds, acceleration and deceleration of your car, the symmetry of flowers, etc. Understanding them is kind of like being able to see the matrix.


2) Math is used to build the world around us.

Obviously math is used in computers, but think about the bridges and buildings around you. Geometry! Not only is math used to plan what we build, but it can be used to theoretically model things that our technology can’t yet create. In the 1820’s, what we know as the radio, was theorised by JC Maxwell while studying electro magnetic theory. It wasn’t until the end of the that century that “electricians” such as David Hughes and Heinrich Hertz were able to take this mathematical theory and build the first radio transmitters!

There are similar stories throughout much of science, physics in particular. The search for the Higgs Boson is based on the mathematical necessity of Standard Model




1) Math is fun and empowering!

Math = knowledge 
Knowledge = power

Math = power!

Last but not least, understanding math can be empowering! I know that many of us were told that math was hard when we were kids, but that is a lie. Math is just a puzzle. We play games on our computers and game consoles. Math doesn’t have to be any different. Rather than looking at a tough problem as an impossible hurdle, view it as a challenge, a game. If you are familiar with the thrill when completing a mission or killing the baddie you are familiar with the thrill of completing that tough problem. There is power in being able to calculate the world around you.


Remember: When you understand math, data’s your bitch!



Wednesday, February 27, 2013

The Blanket Octopus


Blanket octopus 
It may look like a sheet of silk going flowing through the water, but this stunning creature is a Blanket Octopus (family Tremoctopodidae).  These pelagic cephalopods drift along the surface and mid waters (120-750 m) along the Mediterranean and the North and South Atlantic Ocean.

Unlike most cephalopods, which shoot ink as a defence, the blanket octopus uses its net like “blanket” make it self look for daunting in the hopes of scaring off predators. This blanket, for which it was named, is usually stored within its mantle but when threatened, the octopus can fold out the two larger arms on which the blanket is attached. The other arms do not have this webbing and are much shorter.  

Portuguese man o' war
Don’t mistake this creature for a defenceless dainty beauty however. They are immune to Portuguese man o' war stings, which pack a nasty punch even after death. The octopus breaks off bits of tentacle and uses them for defence. While this behaviour isn’t unique to this animal, several species of marine gastropods have been known to utilize cnidarian nematocysts for defence, there are still only a handful of creatures able to withstand a Portuguese man o' war famously powerful venom.

In addition to being known for its shimmery appendages, these unique creates is also famous for its extreme sexual dimorphism. The females can grow as large as 2m in length while mature males only grow to a few centimetres. That means that a fully mature male is 1:10,000 the size of a fully mature female! Up until 2001, only females had ever been seen alive. However, during a series of night dives, Dr Richard Norman was able to catch a glimpse of a fully mature male on camera.

Male blanket octopus
Sexual dimorphism is commonly found among animals where one sex has discovered a particular survival or mating technique. The blanket octopus is just one of four pelagic cephalopod groups which also show great sexual size differences (the others being “paper nautiluses”, the football octopus, and a deeper water octopus Haliphron atlanticus) but blanket octopus is by far the most extreme case.


It also means that only the ladies get the large and lovely gowns. Good going girls!




Wednesday, March 21, 2012

Guest Author: Coleoid Cephalopods: Masters of Masquerade

Earlier this week I ran into a young man adorning his desk with possibly every book on cephalopods in the university library. Naturally, I had to stop and say hello. He was researching an essay on the evolution of color changes on cephalopods for a poster presentation later in the week. I asked him if he would be kind enough to let me post it here as my posts have been a bit on the scant side as of late. He was gracious enough to agree: 


Coleoid Cephalopods: Masters of Masquerade

Will Townshend
University of Glasgow

As with any organism that suffers from predation, methods of protection and self preservation are invaluable. For some, simply escaping by fleeing and evading predators is sufficient or the only method possible to employ. Others adopt means of avoiding detection in the first place. Finally an organism can protect itself by mounting a defense, either by fighting back or by armouring itself. Cephalopods, a class of the mollusc phylum, employ a combination or all of the above.

Coleoid cephalopods, that is the subclass that through evolution, have reduced, internal shells (cuttlefish and squid) or lost it altogether (octopus) take these defensive precautions to unprecedented new levels. Here we will focus on methods of evading initial detection.

Evolutionary pressures for the development of camouflage can be dated back to prehistoric times (around 61mya). With the loss of the defensive hard shell allowing the uptake of a more active lifestyle, coleoids became an easy target for many marine vertebrates such as pliosaurs, plesiosaurs and ichthyosaurs as well as predatory fish, all of which being keen hunters. Icthyosaurs possessing large eyes with high levels of acuity being particularly dangerous, more advanced methods of concealment and camouflage became even more of a precious commodity.

As is the unfortunate case with anything, camouflage comes at a premium and generally has its restrictions. Usually camouflage is fixed or slow changing throughout a day, season or even entire life cycle stages. These restrictions force the organism to inhabit specific environment niches, at the correct time and possibly having to abuse certain specific light conditions. Furthermore, certain behavioural patterns must be adopted such as appropriate postures or orientations of the individual for its camouflage to be effective. Finally organisms with a fixed coloration or pattern often have to face a compromise to fulfil requirements within its natural home environment. By being able to adaptively change their appearance to match their immediate surrounding environment, our colloid cephalopods have evolved to overcome these restrictions.

Chromatophores, specialised cell, are responsible for the ability of an organism to change its colouring and pattern. They are only found in poikilothermic (cold blooded) vertebrates and controlled via cell-cell signalling either hormonally or by neurotransmitters. They are synthesised in neural crest cells during embryonic development and can be divided into 6 subclasses based on hue under white light: Xanthophores - yellows, Erythophores - reds, Iridophores - iridescence, Leucophores - white, Cyanophores - Blues and Melanphores - Black/Browns. These allow for rapid colour change known as metachrosis. Birds and mammals are found to only possess 1 similar cell type called a melanocyte.

Coleoid cephalopods' chromatophores have uniquely evolved further to become neuromuscular organs. Each chromatophore organ contains an elastic sacculus (fluid filled sac) containing pigment which are attached to striated radial muscles, each with nerves and glia. When these muscles contract and relax, the chromatophore expands and contracts changing the what colour is perceived. The size and density depends on the environment, habitat, lifestyle and species while their distribution is in relation to each chromatophore and the surrounding environment. They are controlled by lobes in the brain responding to the optic lobes relaying visual information; the exact understanding of how these brain functions work is not yet fully known. Neural control, both cognitive and reflexive, of the chromatophores allows the cephalopod to change its appearance (colour/pattern) instantly which is key for concealment and evading detection as well as signalling. Chameleons, perhaps one of the creatures most associated with colour change, controls this transformation hormonally and can take as much as 20 seconds to complete the process. An octopus is capable of complete transformation in less than a tenth of that time. Unfortunately, as chromatophores are a soft tissue structures, there is no fossil record of how the evolution of use of colouring and chromatophores actually originally came about in coleoid cephalopods.

Concealment comes under four key points: 1) general background resemblance in matching general colour and pattern, 2) disruptive colouration where the outline of the individual is broken up against its background hindering the search-image formation of predators, 3) deceptive resemblance where colouration and patterning is used to make the individual appear as an inanimate object (eg. rock, seaweed etc.) and finally 4) countershading where by using dark colours on top and light colours underneath gives the perception of a flattening. This is specifically the job of the melanophores, iridophores and especially leucophores which, being broadband reflectors, reflect light of any wavelength over the entire spectrum which incidentally, is also believed to be crucial in the colour/shade matching of colour-blind octopus.

Appropriate countershading is achieved by the use of statocysts. These are endolymph-filled cavities within the cranial cartilage, each containing two areas of sensory epithelium. The macula is a plate of mechanosensory hair cells with an overlaying statolith (mineralised particles) which acts upon the hair cells by accelerating forces (ie. gravity) relaying information to the animal informing it of which way up is. Statocysts allow octopus and cuttlefish to effectively countershade even when disorientated (countershade reflex: CSR).

Control of the chromatophores also enable complex signal communication; deimatic (displays to ward off predators) and agnostic (social behaviour related to fighting eg. for mates, food, territory). These signals can be used for both inter and intraspecfic. Interspecific signals have been documented for hunting to send messages and signals to the prey. An example of this is the "passing cloud" observed in shallow water cuttlefish where it colours itself dark and passes over the target. This helps conceal a tentacle poised ready to strike. Octopus have also been known to exact this strategy as it encourages a camouflaged prey target (eg. crab) to move making it easier to spot and catch. One of the most recorded and documented intraspecific signalling examples is the "Zebra display", again also in shallow water cuttlefish. Modulating strips of high-contrasting colours, usually black and white, creates the visual effect of elongation of the tentacles and increase of overall size. Both these examples have been observed in deimatic and agnostic situations.

The neurally controlled chromatophores possessed by the coleoid cephalopods are especially well adapted for signalling, as not only can rapid signals and rapid signal exchange be conducted but also allows control of intensity of signals leaving potential for even expression of perhaps emotion. Simultaneous bilateral signalling is also possible and is often used during courting periods, where one side will display pale colourings to keep the interest of the prospective female, with more aggressive darker colourings on its opposite side to ward off any rival males (again observed in shallow water cuttlefish). Finally as the chromatophores are independent of other body muscle groups, signalling doesn't interfere with other motor skills. This is particularly important when it comes to hunting in groups such as squid where signals are sent to other members in a group working as a team to coordinate an attack as well as signals to confound their prey.

References:

Allen Justine J, Mathger Lydia M, Buresch Kendra C, Fetchko Thomas, Gardener Meg, Halon Roger T. 2010. Night Vision by Cuttlefish Enables Changeable Camouflage. Marine Resources Center. Brown University. Rhode Island.

Barnes Robert D. 1982. Invertebrate Zoology 4th ed. Holt-Saunders International Ed. Gettysburg College. Pennsylvania.

Boyle P R. 1987. Cephalopod Life Cycles Vol 2 Comparative reviews. Academic Press Inc.
Williams and Maddock. 1995. Cephalopod Neurobiology. Oxford University Press. Oxford. Chapters 21 and 22.

Breidbach O, Kutsch W. 1995. The Nervous Systems Of Invertebrates, An Evolutionary and Comparative Approach.

Cooper, S K. (2002). Chameleons. [Online] Available at: http://magma.nationalgeographic/ngexplorer/0210/articles/mainarticle.html. [accessed: 19/3/12]. National Geographic Society.

Evans David L, Schmidt O Justin. 1990. Insect Defences, Adaptive Mechanisms and Strategies of Prey and Predator. State of New York Press, Albany. Chapter 1.

Kelsh Robert N. 2004. Genetics Evolution of Pigment Patterns in Fish, Pigment Cell Reseach Vol 17. Centre of Regenerative Medicine. Developmental Biology Programme. Department of Biology and Biochemistry. University of Bath. UK

Messenger J B. 2001. Cephalopod Chromatophores: Neurobiology and Natural History. Department of Zoology. Cambridge University. Cambridge.

Ponder Winston F, Lindberg David R. 2008. Phylogeny and Evolution of the Mollusca. University of California Press. California. Chapter 8.

Stevens Martin, Merilaita Sami. 2011. Animal Camouflage Mechanisms and Function. Cambridge University Press. Cambridge University. Cambridge. Chapter 9.
 
Tosh Colin R, Ruxton Graeme. 2010. Modelling Perception with Artificial Neuron Networks. Cambridge University Press. Cambridge. Chapter 19.

Young J Z. 1964. The Central Nervous System of Nautilus. Department of Anatomy. University College London.

Sunday, October 16, 2011

Friday, October 7, 2011

Gastropods of the world!

Anyone reading this blog may have noticed a bit of a delay since my last post. I was accepted to the University of Glasgow in Scotland and have spent the last few months working on packing up my life and moving it to the UK. Now I am settled in and back to slug watching.

Before leaving, I began to catalogue the variety of gastropods I found while jogging and hiking through the rainforets around Seattle with the intention of identifying them and posting pics on this blog. Although there are several identification guides available on line, I found them a bit cumbersome to use. The OSU Slug/Snail identification page has good descriptions, however it does not cover all of the species I have been finding on my walks. The Identification Guide of Land Snails and Slug of Western Washington  created by T. Peirse (et all) at The Evergreen State College (omnia extares!) has a much wider variety of spices. However, I found the flow of the site a bit difficult to use and often did not actually help me identify my mystery snails. Due to this I have decided to make my own identification guide as part of this blog.

My move put that project on hold so I don't have as many pictures from WA state as I would have liked.  However as the damp weather of the UK provides an ideal habitat for gastropods and are very easy to find. I have collected one set of pictures from a hike in Lockwinnoch and will attempt to identify these in the same manner as the US species.

Below are the sets of pictures from both the US and UK. As each species is identified, a profile will be created with pictures and identification information. Hopefully with more expeditions I will be able to find more species. As I do not claim to be an expert in this, if anyone who knows what they are talking about has any corrections to my identifications, please let me know!

Enjoy!

Slugs and Snails of Washington State














Slugs and Snails (and friends) of Scotland








Monday, June 6, 2011

The Seattle Aquarium has Cuttlefish!

Exciting news! The Seattle Aquarium recently got 8 new dwarf cuttle fish (Sepia bandensis)! If you live in the greater Seattle area and want to check them out here are 10 facts to help you appreciate the little suckers.

1) Cuttlefish are the most recently evolved branch of the cephalopod family. While not a lot is known about the evolution of cephalopods, fossilized octopuses and squids were first seen in the Ordovician (488-443 mya) period and can be found in every ocean on earth. The first cuttlefish were not seen until the Jurassic (199-149 mya) and are only found in the shallow seas and found nowhere in the Americas. 

2) The cuttlefish family name Sepia has the same root as the name of the font. Ancient Greeks used to use dried cuttlefish sepia, or ink sacks, for dyes and writing ink. Eventually these writings and drawings became referred to as sepia. This association still exists in Sepia the font which looks handwritten or artisan. Additionally the family name for all cuttlefish is Sepia, again referencing this ancient relationship.
Due to their high calcium content, cuttle
 bones are commonly given to birds
as a supplement.

3) The cuttlefish common name is a reference to their modified shell called a cuttle bone. As cuddly as they look the cuttle in cuttle fish is actually a reference to their cuttle bone. In a second layer of confusing names, this cuttlebone isn't actually a bone but rather a modified shell. The "bone" is oval shaped and porous and used for buoyancy and to help the cuttlefish hover and float in the water column. 

4) Eight arms and two tentacles which end in sucker cups full of teeth just like squid. Also like squid, these two tentacles are used primarily for catching prey. Using their intricate camouflage they will hide in the substrate and wait for their prey to come by with their feeding tentacles coiled up among their arms. Upon spotting something tasty, they will shoot these feeding tentacles out and grab the unfortunate victim with clubs covered in suckers. To help their suckers hold tight, each one is lined with sharp teeth that can easily tear into flesh. (If you think those are scary check out the Humboldt Squid video. So many sucker teeth!) 

5) The Dwarf Cuttlefish use their arms to walk around while looking for prey. This is a behavior common to many of the smaller cuttlefish that live in particularly sandy areas. While they also swim and simply hover, the arm walking is pretty cool to watch.
Dwarf Cuttlefish holding
up arms to taste water

6) They hold their arms up to taste the water while hunting. Again like their other suckers cousins, cuttlefish have chemo-receptors or taste buds in each of their sucker cups. By holding their arms in front of their face (Halfway between an imitation of an elephants trunk and a rearing horse. Try it!) they are able to taste the water to see if any food is nearby.  

7) Multiple layers of chromtophores and can turn almost any color.All cephalopods have chromatophores. These are pigment cells that can expand and contract to change color. While octopuses color changing abilities are awesome, they pale in comparison to the cuttlefish. Unlike octos, cuttlefish have three layers of these chromatophores! The usual layers are a yellow on top, red/brown in the middle with iridescent blue/green on the bottom. By alternating the expansion and contraction of these cells, they can turn just about any color. In addition, these cells are very close together and very small. Studies have shown the resolution of a cuttle fish is around 350 DPI. The dwarf cuttlefish at the aquarium have been seen mostly turning yellow, brown, white and red.

8) Camouflage as a direct response to their surrounding. Unlike octopuses who have insticitve camaflouge patterns, the cuttlefish change as a direct response to their environment. If the rock is red, they 
turn red. They turn mottled and sandy while on sand. Studies have shown that against checkered background, they will turn checkered. What is even more amazing is the speed and versatility that cuttlefish use these colors. While octopuses will often change from pattern to pattern quickly, the cuttlefish can actually change their patterns continuously. In larger cuttlefish this display is usually seen as flashing and rippling bands of color along their arms. In the dwarf cuttlefish its simply a color change in their top arm while tasting the water for food or having the appearance of a cloud passing over their back. 

W-Shaped eye
9) Cuttlefish have a W shaped pupil that can see as well as ours can. Cephalopod eyes are very highly evolved and have a structure very similar to ours with the a similar eyesight capability as well. This is particularly amazing then you remember that they evolved from clams, which have to eyes at all! The main difference between our eyes and theirs, however is that they cannot see color. Science does not know how they are able to so accurately color match their environments while being color blind. 

10) All cuttlefish are venomous. Don't worry though, there are very few that are actually harmful to humans. The Flamboyant cuttlefish however is about as toxic as its cousin the Blue Ringed Octopus. Their lovely color patterns seem to say "Look, don't touch!".

Now you are prepared to both appreciate the cuttlefish while watching them and impress everyone you talk to! I will be on the floor at the aquarium from around 10am-1pm this and every Sunday. You can usually find me by the octopus tank. Feel free to stop by and say hi and maybe go check out the Ocean Oddities section.